Alan,
It's gotten a bit pricey over the years, but I believe your best bet would be to contact the Wyoming Fish & Game Dept. There are just more of them there!
Last I heard, the non-resident fee was around $250 for a buck. Trespass fees can range from near nothing to maybe $100.
It's become dang near impossible for even a resident to get a tag here in Colorado, but it couldn't hurt you to try.
Good luck!